The present invention belongs to the field of thermal radiation temperature detection, and relates to a multi-wavelength spectral thermometry based on mobile narrow-band window and optimization.
As a non-contact thermometry, spectral thermometry is widely applied in the field of high-temperature detection due to the compactness of a device structure and the advantage of in-situ on-line measurement. Spectral thermometry can usually be divided into single-wavelength, dual-wavelength and multi-wavelength. Single-wavelength spectral thermometry requires calculating the temperature of a thermal radiation object at a specific wavelength, and the calculation process requires knowing the spectral emissivity of the thermal radiation object at the wavelength. Dual-wavelength and multi-wavelength spectral thermometry does not require knowing the spectral emissivity, but requires the spectral emissivity distribution characteristic of the thermal radiation object. In the documents, gray hypothesis is usually used during dual-wavelength spectral thermometry, a polynomial function emissivity model or other empirical emissivity models are used during multi-wavelength spectral thermometry, and the temperature of the thermal radiation object can be detected under the condition that the spectral emissivity is unknown.
In the multi-wavelength spectral thermometry process, the deviation in estimating the spectral emissivity distribution characteristic of the thermal radiation object will affect the accuracy of thermometry. The emissivity distribution characteristic of the thermal radiation object will change with the change of material type, surface roughness, physical and chemical structure, thickness, phase state and temperature. A single function model cannot accurately describe the emissivity distribution characteristic of the thermal radiation object in different states. Therefore, it is urgent to develop a spectral thermometry method without depending on the estimation of the emissivity distribution characteristic, thereby improving the universality, accuracy and noise resistance of the spectral thermometry for different thermal radiation objects.
The problem to be solved by the present invention is to overcome the defects in the prior art and provide a multi-wavelength spectral thermometry based on mobile narrow-band window and optimization. A continuous spectrum of a thermal radiation object is collected by a spectrometer; the spectrum of the thermal radiation object is denoised, windowed and standardized; the whole detection wavelength range is traversed within an appropriate narrow-band window; through comparison with the corresponding radiation spectra, the temperature and emissivity distribution of the thermal radiation object is calculated with high accuracy without depending on emissivity model estimation, and high universality and noise resistance are achieved.
A multi-wavelength spectral thermometry based on mobile narrow-band window and optimization includes the following steps:
In step (1), the collected relative spectral radiation intensity Irel is expressed as:
In the formula, ADC is an electrical signal collected by the spectrometer, τ is a set exposure time during collection, λi is a central wavelength of a spectrum signal that can be received by each signal channel of the spectrometer, and m is the number of signal channels.
The emissivity of the black-body furnace is taken as 1, and the spectrometer collects a relative spectral radiation intensity Ib, rel of the black-body furnace at different temperatures, expressed as:
In the formula, Tb,j is a set value of the temperature of the black-body furnace, and n represents a set number of the temperatures; and
In step (2), a method for calculating the corresponding original spectral radiation intensity is to express a relationship between the spectral radiation intensity I and the relative spectral radiation intensity Irel by the following formula:
In the formula, p is a polynomial order; for the same signal channel, the spectral radiation intensity Ib and the relative spectral radiation intensity Ib, rel of the black-body furnace at different temperatures are brought into the formula (4), and an undetermined coefficient α corresponding to the signal channel is obtained through least square fitting; and the collected relative spectral radiation intensity Irel (λi) of the thermal radiation object to be measured at each wavelength is brought into the formula 4 to calculate the corresponding original spectral radiation intensity Iraw(λi).
In step (3), the denoising method is to perform local regression for denoising by weighted linear least squares and a first-order polynomial model; a residual between a spectral radiation intensity Ism(s)=[Ism(λ1, s), Ism(λ2, s), Ism(λ3, s), . . . , Ism(λm, s)] after denoising with a denoising span being S and the original spectral radiation intensity Iraw=[Iraw(λ1), Iraw(λ2), Iraw(λ3), . . . , Iraw(λm)] may be expressed as:
The value of the denoising span s is referenced to an increment ΔRsm(s) of the residual Rsm(s):
The value of the denoising span s meets that ΔRsm(s) is the minimum, in which case, the spectral radiation intensity after denoising may be expressed in a matrix form as:
The windowing method is to take the ith signal channel as a starting point when other thermal radiation objects are measured, and express the bandwidth Wi of a narrow-band window comprising w+1 signal channels as:
The ith signal channel is taken as a starting point when other thermal radiation objects are measured, and the bandwidth Wi of a narrow-band window comprising w+1 signal channels is expressed as:
and The standardizing method is
The standardized spectral radiation intensity matrix of the thermal radiation object is:
Step (4) is specifically as follows: windowing and standardizing the spectral radiation intensity of the black-body furnace at each temperature to obtain:
An index R(j) is defined as a residual between Ib,w′(i, j) and Iw′(i) within different narrow-band windows when the temperature is Tb,j, and is expressed as:
The corresponding temperature Tb,j of the black-body furnace when the residual R(j) is the minimum is a calculated temperature T of the thermal radiation object; and also, the emissivity distribution of the thermal radiation object is calculated by the following formula:
In the formula, λi is a central wavelength of the spectrum signal that can be received by each signal channel of the spectrometer, m is the number of the signal channels. Tb,j is a set value of the temperature of the black-body furnace, and n represents a set number of the temperatures.
In step (1), the value of the exposure time t in the collection process ensures that the electrical signal ADC collected by each signal channel of the spectrometer has a high signal-to-noise ratio and is not overexposed.
The technical solutions of the present invention are further described below in detail with reference to the accompanying drawings.
The spectrometer collects a continuous spectrum of the thermal radiation object, and the collected relative spectral radiation intensity Irel may be expressed as:
In the formula, ADC is an electrical signal collected by the spectrometer, τ is a set exposure time during collection, λi is a central wavelength of a spectrum signal that can be received by each signal channel of the spectrometer, and m is the number of signal channels. It should be noted that the value of the exposure time t in the collection process should ensure that the electrical signal ADC collected by each signal channel of the spectrometer has the highest signal-to-noise ratio as possible and is not overexposed.
The thermometry calculation requires a standard radiation source to perform radiation calibration on the spectrometer. The present invention adopts the black-body furnace as the standard radiation source, and the emissivity of the black-body furnace is taken as 1. The spectrometer collects a relative spectral radiation intensity Ib, rel of the black-body furnace at different temperatures, which may be expressed as:
In the formula, Tb,j is a set value of the temperature of the black-body furnace, and n represents a set number of the temperatures.
According to Planck's law, the spectral radiation intensity Ib of the black-body furnace at a set temperature Tb,j may be calculated by the following formula:
A relationship between the spectral radiation intensity I and the relative spectral radiation intensity Irel may be expressed by the following formula:
In the formula, p is a polynomial order; for the same signal channel, the spectral radiation intensity Ib and the relative spectral radiation intensity Ib, rel of the black-body furnace at different temperatures are brought into the formula (4), and an undetermined coefficient α corresponding to the signal channel may be obtained through least square fitting; and the collected relative spectral radiation intensity Irel (λt) of the thermal radiation object to be measured at each wavelength is brought into the formula (4) to calculate the corresponding original spectral radiation intensity Iraw(λi).
1) Local regression is performed for denoising by weighted linear least squares and a first-order polynomial model. A residual between a spectral radiation intensity Ism(s)=[Ism(λ1, s), Ism(λ2, s), Ism(λ3, s), . . . , Ism(λm, s)] after denoising with a denoising span being s and the original spectral radiation intensity Iraw=[Iraw(λ1), Iraw(λ2), Iraw(λ3), . . . , Iraw(λm)] may be expressed as:
The value of the denoising span s is referenced to an increment ΔRsm(s) of the residual Rsm(s):
The value of the denoising span s meets that ΔRsm(s) is the minimum, in which case, the spectral radiation intensity after denoising may be expressed in a matrix form as:
2) To eliminate the influence of the emissivity, it is necessary to window and standardize the spectral radiation intensity of the thermal radiation object within a narrow-band window during spectral thermometry.
The ith signal channel is taken as a starting point when other thermal radiation objects are measured, and the bandwidth Wi of a narrow-band window including w+1 signal channels may be expressed as:
In the formula, Δλi is a wavelength interval between the ith signal channel and the next adjacent signal channel. w is the number of the and takes the minimum on the premise of ensuring that an algorithm has a sufficient anti-noise ability.
Within the ith narrow-band window, the spectral radiation intensity collected by the spectrometer may be expressed in a matrix form as:
3) The spectral radiation intensity of the thermal radial object is standardized within the narrow-band window:
The standardized spectral radiation intensity matrix of the thermal radiation object is:
The spectral radiation intensity of the black-body furnace at each temperature is also windowed and standardized to obtain:
An index R(j) is defined as a residual between Ib,w′(i, j) and Iw′(i) within different narrow-band windows when the temperature is Tb,j, and is expressed as:
The corresponding temperature Tb,j of the black-body furnace when the residual R(j) is the minimum is a calculated temperature T of the thermal radiation object. In addition, the emissivity distribution of the thermal radiation object may be calculated by the following formula:
In this embodiment, the universality, accuracy and noise resistance of the multi-wavelength spectral thermometry based on mobile narrow-band window and optimization provided by the present invention are checked through the temperature detection on the constructed spectrum firstly. Specific steps are as follows:
1) the black-body spectral radiation intensities, corresponding to 1300 K. 1500 K and 1700 K at a wavelength of 0.5-0.7 μm, of a certain spectrometer (with a spectral resolution of about 0.584 nm) are constructed by Planck's law in the formula (3), as shown in
2) Six different spectral emissivities within the corresponding wavelength range are assumed, as shown in
3) The six different spectral emissivities are multiplied with the black-body radiation spectra at three temperatures in
4) By the multi-wavelength spectral thermometry based on mobile narrow-band window and optimization provided by the present invention, the mean and the error bar of the temperature calculation result of the target spectrum are calculated, as shown in
A spectrum of pulverized coal flame of a certain boiler with a load of 330 MW and within 30 s of the hearth combustion area collected by the spectrometer of the same model in uncertainty analysis is shown in
Number | Date | Country | Kind |
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202211646850.X | Dec 2022 | CN | national |
Filing Document | Filing Date | Country | Kind |
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PCT/CN2022/141254 | 12/23/2022 | WO |